Geodesics around line defects in elastic solids

Details Geodesics around line defects in elastic solids Geodesics around line defects in elastic solids

1998-02-17

arxiv.org/abs/cond-mat/9802178v1

Physics

Condensed Matter

Soft Condensed Matter

10 pages, Latex, 4 figures, accepted for publication in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(97)00871-2

Topological defects in solids, usually described by complicated boundary conditions in elastic theory, may be described more simply as sources of a gravity- like deformation field in the geometric approach of Katanaev and Volovich. This way, the deformation field is described by non-Euclidean metric that incorporates the boundary imposed by the defects. A possible way of gaining some insight into the motion of particles in a medium with topological defects (e.g., electrons in a dislocated metal) is to look at the geodesics of the medium around the defect. In this work, we find the exact solution for the geodesic equation for elastic medium with a generic line defect, the dispiration, that can either be a screw dislocation or a wedge disclination for particular choices of its parameters.

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